(2x+3)(x-2)-x(x+1)=o

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Solution for (2x+3)(x-2)-x(x+1)=o equation: 


Simplifying
(2x + 3)(x + -2) + -1x(x + 1) = o

Reorder the terms:
(3 + 2x)(x + -2) + -1x(x + 1) = o

Reorder the terms:
(3 + 2x)(-2 + x) + -1x(x + 1) = o

Multiply (3 + 2x) * (-2 + x)
(3(-2 + x) + 2x * (-2 + x)) + -1x(x + 1) = o
((-2 * 3 + x * 3) + 2x * (-2 + x)) + -1x(x + 1) = o
((-6 + 3x) + 2x * (-2 + x)) + -1x(x + 1) = o
(-6 + 3x + (-2 * 2x + x * 2x)) + -1x(x + 1) = o
(-6 + 3x + (-4x + 2x2)) + -1x(x + 1) = o

Combine like terms: 3x + -4x = -1x
(-6 + -1x + 2x2) + -1x(x + 1) = o

Reorder the terms:
-6 + -1x + 2x2 + -1x(1 + x) = o
-6 + -1x + 2x2 + (1 * -1x + x * -1x) = o
-6 + -1x + 2x2 + (-1x + -1x2) = o

Reorder the terms:
-6 + -1x + -1x + 2x2 + -1x2 = o

Combine like terms: -1x + -1x = -2x
-6 + -2x + 2x2 + -1x2 = o

Combine like terms: 2x2 + -1x2 = 1x2
-6 + -2x + 1x2 = o

Solving
-6 + -2x + 1x2 = o

Solving for variable 'x'.

Reorder the terms:
-6 + -1o + -2x + 1x2 = o + -1o

Combine like terms: o + -1o = 0
-6 + -1o + -2x + 1x2 = 0

The solution to this equation could not be determined.

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